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31 votes
31 votes
A 3-foot child standing 10 feet from a streetlight casts a 8-foot shadow. Two similar triangles are formed. One triangle is formed by the person and the shadow that the person casts. A second triangle is formed by the streetlight and the ground from the base of the streetlight to the end of the shadow. The street light is times taller than the child.

User Jontem
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1 Answer

19 votes
19 votes

Answer:

6/15=height of lamp/(15+15); 6/15=height of lamp/30; height of lamp=(30/15)6=2×6, 2 times taller.

(Lamp is 12 feet tall)

Explanation:

User Alexis MP
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